Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	36	4
2	73	4
3	127	4
4	167	4
5	185	4
6	187	4
7	187	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 13.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

13.6b

(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/r*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

8.0ms

(/ (* (* x 2.0) y) (- x y))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(/ (* (* x 2.0) y) (- x y))

simplify33.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	211	184
1	1144	151
2	5002	151

prune48.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0b

Counts

33 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.1b	(* (* x 2.0) (/ y (- x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ y (- x y))
10.0ms	(* (* x 2.0) (/ y (- x y)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (- x y))
61.0ms	(* (* x 2.0) (/ y (- x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	310	435
1	1657	385
2	5001	385

prune105.0ms

Filtered

84 candidates to 53 candidates (63.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

8.1b	(/ (* x 2.0) (/ (- x y) y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt` `associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
3×	`div-inv`
2×	`prod-exp` `cbrt-unprod`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l*` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

9.0ms

(/ (* x 2.0) (/ (- x y) y))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(/ (* x 2.0) (/ (- x y) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	348	409
1	1648	363
2	5001	362

prune80.0ms

Filtered

61 candidates to 41 candidates (67.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	62	4	66

Merged error: 0b

Counts

66 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- x y))
7.6b	(* (/ x (- x y)) (* y 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-l`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ x (- x y))
10.0ms	(* (/ x (- x y)) (* y 2.0))

series105.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ x (- x y))
61.0ms	(* (/ x (- x y)) (* y 2.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	312	431
1	1237	380
2	5001	380

prune106.0ms

Filtered

84 candidates to 57 candidates (67.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes42.0ms

Accuracy

96.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.0b

bsearch55.0ms

Steps

Iters	Range		Point
9	9.788698068040235e-11	0.005370866090842012	2.35511050473705e-10
6	-8.947993946529671e+85	-1.3070715706990316e+85	-1.3238108702559696e+85

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample341.0ms

Algorithm

intervals

Results

215.0ms

8000×

body

valid